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Finding the Fourth Proportional to 3,710.71, 5,565.19 and 1,077.51

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Solution

The fourth proportional to 3,710.71, 5,565.19 and 1,077.51 is: 1,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.71 : 5,565.19 = 1,077.51 : x
  2. Step 2: Convert to fraction form
    3,710.71/5,565.19 = 1,077.51/x
  3. Step 3: Cross multiply
    3,710.71x = 5,565.19 × 1,077.51
  4. Step 4: Simplify right side
    3,710.71x = 5,996,547.88
  5. Step 5: Solve for x
    x = 5,996,547.88/3,710.71
  6. Step 6: Final answer
    x = 1,616.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.