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Finding the Fourth Proportional to 3,889.08, 5,830.40 and 1,547.64

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Solution

The fourth proportional to 3,889.08, 5,830.40 and 1,547.64 is: 2,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.08 : 5,830.40 = 1,547.64 : x
  2. Step 2: Convert to fraction form
    3,889.08/5,830.40 = 1,547.64/x
  3. Step 3: Cross multiply
    3,889.08x = 5,830.40 × 1,547.64
  4. Step 4: Simplify right side
    3,889.08x = 9,023,360.26
  5. Step 5: Solve for x
    x = 9,023,360.26/3,889.08
  6. Step 6: Final answer
    x = 2,320.18

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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.