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Finding the Fourth Proportional to 4,214.76, 5,815.80 and 2,445

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Solution

The fourth proportional to 4,214.76, 5,815.80 and 2,445 is: 3,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.76 : 5,815.80 = 2,445 : x
  2. Step 2: Convert to fraction form
    4,214.76/5,815.80 = 2,445/x
  3. Step 3: Cross multiply
    4,214.76x = 5,815.80 × 2,445
  4. Step 4: Simplify right side
    4,214.76x = 14,219,631
  5. Step 5: Solve for x
    x = 14,219,631/4,214.76
  6. Step 6: Final answer
    x = 3,373.77

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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.