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Finding the Fourth Proportional to 2,570.71, 3,833.48 and 2,547.32

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Solution

The fourth proportional to 2,570.71, 3,833.48 and 2,547.32 is: 3,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.71 : 3,833.48 = 2,547.32 : x
  2. Step 2: Convert to fraction form
    2,570.71/3,833.48 = 2,547.32/x
  3. Step 3: Cross multiply
    2,570.71x = 3,833.48 × 2,547.32
  4. Step 4: Simplify right side
    2,570.71x = 9,765,068.37
  5. Step 5: Solve for x
    x = 9,765,068.37/2,570.71
  6. Step 6: Final answer
    x = 3,798.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.