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Finding the Fourth Proportional to 5,031.96, 7,547.04 and 2,258.16

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Solution

The fourth proportional to 5,031.96, 7,547.04 and 2,258.16 is: 3,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.96 : 7,547.04 = 2,258.16 : x
  2. Step 2: Convert to fraction form
    5,031.96/7,547.04 = 2,258.16/x
  3. Step 3: Cross multiply
    5,031.96x = 7,547.04 × 2,258.16
  4. Step 4: Simplify right side
    5,031.96x = 17,042,423.85
  5. Step 5: Solve for x
    x = 17,042,423.85/5,031.96
  6. Step 6: Final answer
    x = 3,386.84

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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.