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Finding the Fourth Proportional to 4,666.50, 6,439.95 and 2,570.76

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Solution

The fourth proportional to 4,666.50, 6,439.95 and 2,570.76 is: 3,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.50 : 6,439.95 = 2,570.76 : x
  2. Step 2: Convert to fraction form
    4,666.50/6,439.95 = 2,570.76/x
  3. Step 3: Cross multiply
    4,666.50x = 6,439.95 × 2,570.76
  4. Step 4: Simplify right side
    4,666.50x = 16,555,565.86
  5. Step 5: Solve for x
    x = 16,555,565.86/4,666.50
  6. Step 6: Final answer
    x = 3,547.75

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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.