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Finding the Fourth Proportional to 4,048.26, 5,587.02 and 2,477.40

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Solution

The fourth proportional to 4,048.26, 5,587.02 and 2,477.40 is: 3,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.26 : 5,587.02 = 2,477.40 : x
  2. Step 2: Convert to fraction form
    4,048.26/5,587.02 = 2,477.40/x
  3. Step 3: Cross multiply
    4,048.26x = 5,587.02 × 2,477.40
  4. Step 4: Simplify right side
    4,048.26x = 13,841,283.35
  5. Step 5: Solve for x
    x = 13,841,283.35/4,048.26
  6. Step 6: Final answer
    x = 3,419.07

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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.