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Finding the Fourth Proportional to 5,854.48, 8,078.28 and 3,370

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Solution

The fourth proportional to 5,854.48, 8,078.28 and 3,370 is: 4,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.48 : 8,078.28 = 3,370 : x
  2. Step 2: Convert to fraction form
    5,854.48/8,078.28 = 3,370/x
  3. Step 3: Cross multiply
    5,854.48x = 8,078.28 × 3,370
  4. Step 4: Simplify right side
    5,854.48x = 27,223,803.60
  5. Step 5: Solve for x
    x = 27,223,803.60/5,854.48
  6. Step 6: Final answer
    x = 4,650.08

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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.