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Finding the Fourth Proportional to 4,671.16, 7,005.78 and 1,749.40

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Solution

The fourth proportional to 4,671.16, 7,005.78 and 1,749.40 is: 2,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.16 : 7,005.78 = 1,749.40 : x
  2. Step 2: Convert to fraction form
    4,671.16/7,005.78 = 1,749.40/x
  3. Step 3: Cross multiply
    4,671.16x = 7,005.78 × 1,749.40
  4. Step 4: Simplify right side
    4,671.16x = 12,255,911.53
  5. Step 5: Solve for x
    x = 12,255,911.53/4,671.16
  6. Step 6: Final answer
    x = 2,623.74

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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.