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Finding the Fourth Proportional to 4,602.17, 6,903.84 and 4,530.93

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Solution

The fourth proportional to 4,602.17, 6,903.84 and 4,530.93 is: 6,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.17 : 6,903.84 = 4,530.93 : x
  2. Step 2: Convert to fraction form
    4,602.17/6,903.84 = 4,530.93/x
  3. Step 3: Cross multiply
    4,602.17x = 6,903.84 × 4,530.93
  4. Step 4: Simplify right side
    4,602.17x = 31,280,845.71
  5. Step 5: Solve for x
    x = 31,280,845.71/4,602.17
  6. Step 6: Final answer
    x = 6,796.97

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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.