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Finding the Fourth Proportional to 4,595.83, 6,894.42 and 2,130.90

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Solution

The fourth proportional to 4,595.83, 6,894.42 and 2,130.90 is: 3,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.83 : 6,894.42 = 2,130.90 : x
  2. Step 2: Convert to fraction form
    4,595.83/6,894.42 = 2,130.90/x
  3. Step 3: Cross multiply
    4,595.83x = 6,894.42 × 2,130.90
  4. Step 4: Simplify right side
    4,595.83x = 14,691,319.58
  5. Step 5: Solve for x
    x = 14,691,319.58/4,595.83
  6. Step 6: Final answer
    x = 3,196.66

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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.