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Finding the Fourth Proportional to 4,666.52, 6,439.78 and 2,570.66

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Solution

The fourth proportional to 4,666.52, 6,439.78 and 2,570.66 is: 3,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.52 : 6,439.78 = 2,570.66 : x
  2. Step 2: Convert to fraction form
    4,666.52/6,439.78 = 2,570.66/x
  3. Step 3: Cross multiply
    4,666.52x = 6,439.78 × 2,570.66
  4. Step 4: Simplify right side
    4,666.52x = 16,554,484.85
  5. Step 5: Solve for x
    x = 16,554,484.85/4,666.52
  6. Step 6: Final answer
    x = 3,547.50

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