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Finding the Fourth Proportional to 4,770.64, 6,580.20 and 2,904.40

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Solution

The fourth proportional to 4,770.64, 6,580.20 and 2,904.40 is: 4,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.64 : 6,580.20 = 2,904.40 : x
  2. Step 2: Convert to fraction form
    4,770.64/6,580.20 = 2,904.40/x
  3. Step 3: Cross multiply
    4,770.64x = 6,580.20 × 2,904.40
  4. Step 4: Simplify right side
    4,770.64x = 19,111,532.88
  5. Step 5: Solve for x
    x = 19,111,532.88/4,770.64
  6. Step 6: Final answer
    x = 4,006.07

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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.