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Finding the Fourth Proportional to 4,681.84, 6,460.12 and 3,442.80

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Solution

The fourth proportional to 4,681.84, 6,460.12 and 3,442.80 is: 4,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.84 : 6,460.12 = 3,442.80 : x
  2. Step 2: Convert to fraction form
    4,681.84/6,460.12 = 3,442.80/x
  3. Step 3: Cross multiply
    4,681.84x = 6,460.12 × 3,442.80
  4. Step 4: Simplify right side
    4,681.84x = 22,240,901.14
  5. Step 5: Solve for x
    x = 22,240,901.14/4,681.84
  6. Step 6: Final answer
    x = 4,750.46

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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.