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Finding the Fourth Proportional to 4,870.99, 7,289.07 and 4,590.33

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Solution

The fourth proportional to 4,870.99, 7,289.07 and 4,590.33 is: 6,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.99 : 7,289.07 = 4,590.33 : x
  2. Step 2: Convert to fraction form
    4,870.99/7,289.07 = 4,590.33/x
  3. Step 3: Cross multiply
    4,870.99x = 7,289.07 × 4,590.33
  4. Step 4: Simplify right side
    4,870.99x = 33,459,236.69
  5. Step 5: Solve for x
    x = 33,459,236.69/4,870.99
  6. Step 6: Final answer
    x = 6,869.08

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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.