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Finding the Fourth Proportional to 3,153.47, 4,746.65 and 2,677.80

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Solution

The fourth proportional to 3,153.47, 4,746.65 and 2,677.80 is: 4,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.47 : 4,746.65 = 2,677.80 : x
  2. Step 2: Convert to fraction form
    3,153.47/4,746.65 = 2,677.80/x
  3. Step 3: Cross multiply
    3,153.47x = 4,746.65 × 2,677.80
  4. Step 4: Simplify right side
    3,153.47x = 12,710,542.25
  5. Step 5: Solve for x
    x = 12,710,542.25/3,153.47
  6. Step 6: Final answer
    x = 4,030.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.