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Finding the Fourth Proportional to 4,465.60, 6,154.84 and 2,970.84

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Solution

The fourth proportional to 4,465.60, 6,154.84 and 2,970.84 is: 4,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.60 : 6,154.84 = 2,970.84 : x
  2. Step 2: Convert to fraction form
    4,465.60/6,154.84 = 2,970.84/x
  3. Step 3: Cross multiply
    4,465.60x = 6,154.84 × 2,970.84
  4. Step 4: Simplify right side
    4,465.60x = 18,285,044.87
  5. Step 5: Solve for x
    x = 18,285,044.87/4,465.60
  6. Step 6: Final answer
    x = 4,094.64

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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.