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Finding the Fourth Proportional to 4,594.84, 6,892.30 and 1,307.93

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Solution

The fourth proportional to 4,594.84, 6,892.30 and 1,307.93 is: 1,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.84 : 6,892.30 = 1,307.93 : x
  2. Step 2: Convert to fraction form
    4,594.84/6,892.30 = 1,307.93/x
  3. Step 3: Cross multiply
    4,594.84x = 6,892.30 × 1,307.93
  4. Step 4: Simplify right side
    4,594.84x = 9,014,634.05
  5. Step 5: Solve for x
    x = 9,014,634.05/4,594.84
  6. Step 6: Final answer
    x = 1,961.90

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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.