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Finding the Fourth Proportional to 6,551.60, 9,041.95 and 3,899.01

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Solution

The fourth proportional to 6,551.60, 9,041.95 and 3,899.01 is: 5,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.60 : 9,041.95 = 3,899.01 : x
  2. Step 2: Convert to fraction form
    6,551.60/9,041.95 = 3,899.01/x
  3. Step 3: Cross multiply
    6,551.60x = 9,041.95 × 3,899.01
  4. Step 4: Simplify right side
    6,551.60x = 35,254,653.47
  5. Step 5: Solve for x
    x = 35,254,653.47/6,551.60
  6. Step 6: Final answer
    x = 5,381.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.