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Finding the Fourth Proportional to 5,624.86, 7,762.80 and 3,386.74

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Solution

The fourth proportional to 5,624.86, 7,762.80 and 3,386.74 is: 4,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.86 : 7,762.80 = 3,386.74 : x
  2. Step 2: Convert to fraction form
    5,624.86/7,762.80 = 3,386.74/x
  3. Step 3: Cross multiply
    5,624.86x = 7,762.80 × 3,386.74
  4. Step 4: Simplify right side
    5,624.86x = 26,290,585.27
  5. Step 5: Solve for x
    x = 26,290,585.27/5,624.86
  6. Step 6: Final answer
    x = 4,674.00

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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.