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Finding the Fourth Proportional to 4,666.25, 6,439.43 and 2,570.42

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Solution

The fourth proportional to 4,666.25, 6,439.43 and 2,570.42 is: 3,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.25 : 6,439.43 = 2,570.42 : x
  2. Step 2: Convert to fraction form
    4,666.25/6,439.43 = 2,570.42/x
  3. Step 3: Cross multiply
    4,666.25x = 6,439.43 × 2,570.42
  4. Step 4: Simplify right side
    4,666.25x = 16,552,026.81
  5. Step 5: Solve for x
    x = 16,552,026.81/4,666.25
  6. Step 6: Final answer
    x = 3,547.18

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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.