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Finding the Fourth Proportional to 5,875.84, 8,106.24 and 3,888.64

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Solution

The fourth proportional to 5,875.84, 8,106.24 and 3,888.64 is: 5,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.84 : 8,106.24 = 3,888.64 : x
  2. Step 2: Convert to fraction form
    5,875.84/8,106.24 = 3,888.64/x
  3. Step 3: Cross multiply
    5,875.84x = 8,106.24 × 3,888.64
  4. Step 4: Simplify right side
    5,875.84x = 31,522,249.11
  5. Step 5: Solve for x
    x = 31,522,249.11/5,875.84
  6. Step 6: Final answer
    x = 5,364.72

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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.