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Finding the Fourth Proportional to 3,686.80, 5,088.36 and 2,642.32

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Solution

The fourth proportional to 3,686.80, 5,088.36 and 2,642.32 is: 3,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.80 : 5,088.36 = 2,642.32 : x
  2. Step 2: Convert to fraction form
    3,686.80/5,088.36 = 2,642.32/x
  3. Step 3: Cross multiply
    3,686.80x = 5,088.36 × 2,642.32
  4. Step 4: Simplify right side
    3,686.80x = 13,445,075.40
  5. Step 5: Solve for x
    x = 13,445,075.40/3,686.80
  6. Step 6: Final answer
    x = 3,646.81

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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.