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Finding the Fourth Proportional to 4,653.60, 6,994.80 and 4,567.20

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Solution

The fourth proportional to 4,653.60, 6,994.80 and 4,567.20 is: 6,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.60 : 6,994.80 = 4,567.20 : x
  2. Step 2: Convert to fraction form
    4,653.60/6,994.80 = 4,567.20/x
  3. Step 3: Cross multiply
    4,653.60x = 6,994.80 × 4,567.20
  4. Step 4: Simplify right side
    4,653.60x = 31,946,650.56
  5. Step 5: Solve for x
    x = 31,946,650.56/4,653.60
  6. Step 6: Final answer
    x = 6,864.93

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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.