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Finding the Fourth Proportional to 5,772.65, 7,966.10 and 3,254.74

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Solution

The fourth proportional to 5,772.65, 7,966.10 and 3,254.74 is: 4,491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.65 : 7,966.10 = 3,254.74 : x
  2. Step 2: Convert to fraction form
    5,772.65/7,966.10 = 3,254.74/x
  3. Step 3: Cross multiply
    5,772.65x = 7,966.10 × 3,254.74
  4. Step 4: Simplify right side
    5,772.65x = 25,927,598.34
  5. Step 5: Solve for x
    x = 25,927,598.34/5,772.65
  6. Step 6: Final answer
    x = 4,491.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.