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Finding the Fourth Proportional to 4,117.64, 5,680.98 and 2,348

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Solution

The fourth proportional to 4,117.64, 5,680.98 and 2,348 is: 3,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.64 : 5,680.98 = 2,348 : x
  2. Step 2: Convert to fraction form
    4,117.64/5,680.98 = 2,348/x
  3. Step 3: Cross multiply
    4,117.64x = 5,680.98 × 2,348
  4. Step 4: Simplify right side
    4,117.64x = 13,338,941.04
  5. Step 5: Solve for x
    x = 13,338,941.04/4,117.64
  6. Step 6: Final answer
    x = 3,239.46

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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.