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Finding the Fourth Proportional to 4,798.51, 7,185.74 and 3,038.20

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Solution

The fourth proportional to 4,798.51, 7,185.74 and 3,038.20 is: 4,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.51 : 7,185.74 = 3,038.20 : x
  2. Step 2: Convert to fraction form
    4,798.51/7,185.74 = 3,038.20/x
  3. Step 3: Cross multiply
    4,798.51x = 7,185.74 × 3,038.20
  4. Step 4: Simplify right side
    4,798.51x = 21,831,710.87
  5. Step 5: Solve for x
    x = 21,831,710.87/4,798.51
  6. Step 6: Final answer
    x = 4,549.69

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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.