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Finding the Fourth Proportional to 3,482.52, 4,802.92 and 2,477.60

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Solution

The fourth proportional to 3,482.52, 4,802.92 and 2,477.60 is: 3,416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.52 : 4,802.92 = 2,477.60 : x
  2. Step 2: Convert to fraction form
    3,482.52/4,802.92 = 2,477.60/x
  3. Step 3: Cross multiply
    3,482.52x = 4,802.92 × 2,477.60
  4. Step 4: Simplify right side
    3,482.52x = 11,899,714.59
  5. Step 5: Solve for x
    x = 11,899,714.59/3,482.52
  6. Step 6: Final answer
    x = 3,416.98

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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.