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Finding the Fourth Proportional to 3,547.48, 4,894.10 and 2,202.46

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Solution

The fourth proportional to 3,547.48, 4,894.10 and 2,202.46 is: 3,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.48 : 4,894.10 = 2,202.46 : x
  2. Step 2: Convert to fraction form
    3,547.48/4,894.10 = 2,202.46/x
  3. Step 3: Cross multiply
    3,547.48x = 4,894.10 × 2,202.46
  4. Step 4: Simplify right side
    3,547.48x = 10,779,059.49
  5. Step 5: Solve for x
    x = 10,779,059.49/3,547.48
  6. Step 6: Final answer
    x = 3,038.51

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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.