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Finding the Fourth Proportional to 4,376.68, 6,565.34 and 1,256.66

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Solution

The fourth proportional to 4,376.68, 6,565.34 and 1,256.66 is: 1,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.68 : 6,565.34 = 1,256.66 : x
  2. Step 2: Convert to fraction form
    4,376.68/6,565.34 = 1,256.66/x
  3. Step 3: Cross multiply
    4,376.68x = 6,565.34 × 1,256.66
  4. Step 4: Simplify right side
    4,376.68x = 8,250,395.10
  5. Step 5: Solve for x
    x = 8,250,395.10/4,376.68
  6. Step 6: Final answer
    x = 1,885.08

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