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Finding the Fourth Proportional to 3,925.12, 5,886.48 and 1,330

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Solution

The fourth proportional to 3,925.12, 5,886.48 and 1,330 is: 1,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.12 : 5,886.48 = 1,330 : x
  2. Step 2: Convert to fraction form
    3,925.12/5,886.48 = 1,330/x
  3. Step 3: Cross multiply
    3,925.12x = 5,886.48 × 1,330
  4. Step 4: Simplify right side
    3,925.12x = 7,829,018.40
  5. Step 5: Solve for x
    x = 7,829,018.40/3,925.12
  6. Step 6: Final answer
    x = 1,994.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.